Using Wolfram-Cloud/Mathematica to explore the Perfect Shuffle Problem

Published: 02 August 2024
on channel: Thomas Blum

In this video we use Mathematica/Wolfram-Cloud to look at a sequence of numbers derived from the scenario of performing a "perfect shuffle" on a list representing a deck of card. A number of such shuffles returns the deck to its original order. We plot the sequence (https://oeis.org/A002326) using ListPlot. Many of the (x, y) pairs seemed to fall on lines with "simple" rational slopes. We use Mathematica's Select method to pull out the points on the various lines.

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